If < l, m, n>lt; l, m, n> are the direction cosines of a normal to the plane 2 x-3 y+6 z+4=0 \text{, } then what is the value of 49 (7 l^2+m^2-n^2) ?

UPSC NDA I 2024 Mathematics Paper

Question : 54 of 120

Marks: +1, -0

If <l,m,n> are the direction cosines of a normal to the plane
2x−3y+6z+4=0‌, ‌
then what is the value of 49(7l2+m2−n2) ?

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